几何代数
Geometric Algebras
摘要：
这是第一个文件在一系列的八个在前三个，我们制定了一个系统的方法，几何代数的多向量和扩张，其次是五个文件，这些代数概念被用于一个新的介绍几个主题的微分几何的（光滑）流形的任意全球拓扑。我们的计划的发展的一个关键工具是掌握欧几里德几何代数的多向量，在本文件中详细介绍。
英文摘要：
This is the first paper in a series of eight where in the first three we develop a systematic approach to the geometric algebras of multivectors and extensors, followed by five papers where those algebraic concepts are used in a novel presentation of several topics of the differential geometry of (smooth) manifolds of arbitrary global topology. A key tool for the development of our program is the mastering of the euclidean geometrical algebra of multivectors that is detailed in the present paper.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
